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Finding the Fourth Proportional to 9,331.20, 12,876 and 5,351.04

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Solution

The fourth proportional to 9,331.20, 12,876 and 5,351.04 is: 7,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.20 : 12,876 = 5,351.04 : x
  2. Step 2: Convert to fraction form
    9,331.20/12,876 = 5,351.04/x
  3. Step 3: Cross multiply
    9,331.20x = 12,876 × 5,351.04
  4. Step 4: Simplify right side
    9,331.20x = 68,899,991.04
  5. Step 5: Solve for x
    x = 68,899,991.04/9,331.20
  6. Step 6: Final answer
    x = 7,383.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.